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                [Wf2011]Chips Challenge                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p>有一个芯片，芯片上有N*N（1&le;N&le;40）个插槽，可以在里面装零件。</p>
<p>有些插槽不能装零件，有些插槽必须装零件，剩下的插槽随意。</p>
<p>要求装好之后满足如下两条要求：</p>
<p>1、第&nbsp;i&nbsp;行和第&nbsp;i&nbsp;列的零件数目必须一样多（1&le;i&le;N）。</p>
<p>2、第 i 行的零件数目不能超过总的零件数目的 A/B（1&le;i&le;N，0&le;A&le;B&le;1000，B&ne;0）。</p>
<p>求最多可以另外放多少个零件（就是除掉必须放的）。如果无解输出impossible。</p></p><hr/><h3>输入格式</h3><p><p>The input consists of several test cases. Each case starts with a line containing three integers: The size of the chip N (1&lt;=N&lt;=40), and A and B (1&lt;=A&lt;=1000, 0&lt;=A&lt;=B) as described above. Each of the following N lines contains N characters describing the slots, one of `.', `/' or `C', as described above.</p>
<p>The last test case is followed by a line containing three zeros.</p>
<p></p></p><hr/><h3>输出格式</h3><p><p>For each test case, display a single line beginning with the case number. If there is a solution, display the maximum number of widgets that can be added to the chip. Display ``impossible&quot; if there is no solution.</p>
<p>Follow the format of the sample output.</p>
<p></p></p><hr/><h3>样例输入</h3><pre>2 1 1
/.
//
2 50 100
/.
C/
2 100 100
./
C.
5 3 10
CC/..
././/
..C.C
/.C..
/./C/
5 2 10
CC/..
././/
..C.C
/.C..
/./C/
0 0 0

</pre><hr/><h3>样例输出</h3><pre>Case 1: 0
Case 2: 1         
Case 3: impossible
Case 4: 7         
Case 5: impossible

</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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